9648574993200 has 480 divisors, whose sum is σ = 36611198733312. Its totient is φ = 2159117030400.

The previous prime is 9648574993199. The next prime is 9648574993201. The reversal of 9648574993200 is 23994758469.

It is an interprime number because it is at equal distance from previous prime (9648574993199) and next prime (9648574993201).

It is a Smith number, since the sum of its digits (66) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is not an unprimeable number, because it can be changed into a prime (9648574993201) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 20531257 + ... + 20995943.

Almost surely, 2^{9648574993200} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9648574993200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18305599366656).

9648574993200 is an abundant number, since it is smaller than the sum of its proper divisors (26962623740112).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

9648574993200 is a wasteful number, since it uses less digits than its factorization.

9648574993200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 464754 (or 464721 counting only the distinct ones).

The product of its (nonzero) digits is 117573120, while the sum is 66.

The spelling of 9648574993200 in words is "nine trillion, six hundred forty-eight billion, five hundred seventy-four million, nine hundred ninety-three thousand, two hundred".